{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 13.8. 区域卷积神经网络（R-CNN）系列\n",
    "\n",
    "**除了 13.7节中描述的单发多框检测之外， 区域卷积神经网络（region-based CNN或regions with CNN features，R-CNN） [Girshick et al., 2014]也是将深度模型应用于目标检测的开创性工作之一。 在本节中，我们将介绍R-CNN及其一系列改进方法：快速的R-CNN（Fast R-CNN） [Girshick, 2015]、更快的R-CNN（Faster R-CNN） [Ren et al., 2015]和掩码R-CNN（Mask R-CNN） [He et al., 2017]。 限于篇幅，我们只着重介绍这些模型的设计思路。**"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 13.8.1 R-CNN\n",
    "\n",
    "**R-CNN首先从输入图像中选取若干（例如2000个）提议区域（如锚框也是一种选取方法），并标注它们的类别和边界框（如偏移量）。 [Girshick et al., 2014]然后，用卷积神经网络对每个提议区域进行前向传播以抽取其特征。 接下来，我们用每个提议区域的特征来预测类别和边界框。**\n",
    "\n",
    "\n",
    "![image.png](attachment:528a11a1-9f20-4d7f-9a42-7b79098dad82.png)\n",
    "\n",
    "**图13.8.1展示了R-CNN模型。具体来说，R-CNN包括以下四个步骤：**\n",
    "\n",
    "**1.对输入图像使用选择性搜索来选取多个高质量的提议区域 [Uijlings et al., 2013]。这些提议区域通常是在多个尺度下选取的，并具有不同的形状和大小。每个提议区域都将被标注类别和真实边界框。**\n",
    "\n",
    "**2.选择一个预训练的卷积神经网络，并将其在输出层之前截断。将每个提议区域变形为网络需要的输入尺寸，并通过前向传播输出抽取的提议区域特征。**\n",
    "\n",
    "**3.将每个提议区域的特征连同其标注的类别作为一个样本。训练多个支持向量机对目标分类，其中每个支持向量机用来判断样本是否属于某一个类别。**\n",
    "\n",
    "\n",
    "**4.将每个提议区域的特征连同其标注的边界框作为一个样本，训练线性回归模型来预测真实边界框。**\n",
    "\n",
    "**尽管R-CNN模型通过预训练的卷积神经网络有效地抽取了图像特征，但它的速度很慢。 想象一下，我们可能从一张图像中选出上千个提议区域，这需要上千次的卷积神经网络的前向传播来执行目标检测。 这种庞大的计算量使得R-CNN在现实世界中难以被广泛应用。**\n"
   ]
  },
  {
   "attachments": {
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7YYuiOKvSDI3uFzZK9oS4bDbLERS+tnCUzbJsyXIK0yl3FUIaF3XjEEJIA6BkTwghDcAH4PqNP8nC9i6ALfU+iBm6HcC17du30x6089iNPWjfB7C53scyQ7/GrXOstfZaUc2+6Y6vYNHtiz2J/OWXf8Tnf7gC32234U+bWz2JabsyPoaWFe2ersc/cuIfcf3LLwAAd9xxB5qamjyLfePOygueBSRknlt0++1ouuNPPYv3h4lx5HLXsbjZu5Vyv/j8CnJf/tF5XJTsf7z7f+Evv/N9Tw7k+BENz/wwhH/37/8jdr/qzdo6tkfv9eHeLaLrq3QWekX4Kj4fyy+r+4tf/AI7duzwLLYvv3ibOd3rCGkUDwpR7Hx2r2fxnvzPf4nTJ/8J4ju13V9hKu/9NFK0ZSzV7AkhpAFQsieEkAZAyZ4QQhoAJXvSsOxliiux73ydLXslypkwDMNZBbOaWITMFN1BSxqWvR59pSRrP28nZPuOVk3TsGvXLmcNm8nslSdnslSBIAjO4mahUKhoGeNKx7xr165pfy4ARKNR2omKOCjZE4J8Ep28+Ye94FhXVxeSyWTRtn7BYBAsyzprw/t8PmQymVmtRSPLcsneuYUsy3IWQyt8bnR0dNoFyxRFKVk3nzQ2SvaEIJ8cJ5d07GQ5NDSE9vZ2KIriJFlZlp3tIsstjmbvLauqKkZHR0uuHkzTRCKRQCaTKXs8lmUhFArB7/eX7KM7eePzcqgkRCarOtkfP6Lh8AEV6zfyOHxAxeoODo96sAF3YdyDbyro3ipi0+bym0rP1dUJCyfeSOLi77P49qSNzc1DKsxDKu7keJiHVHxDjNdsu0TLspBMJpHNZsuuxa5pGhKJBGKxGG04USVFUaDrOoaHh5FIJCBJUsmiYfZOVJN3pLKXOp5cIrET/PDwMHRdRzgcBsuyGB0dLXldJBJBOByueKIIhULOCWYyXdfteyemFIvFpn0Nmd7IWRNvpWWs7uBw/KiGFXcHsH2ne+/tMSWO428kIb5d/Htz8bSBE6/LuJPjcem0gaVrONy7ZeZluqqT/e4dAvp/m79BYNNmAb1hDus28Fjd4d4ysyNnTezeGcHeg0NoWcJg3QYef/UXbdh7cAgr7q793bDjF0xc/H0W1yaskue1n/fge3uzaF3JYhXH443HOWx/zazJrvOGYSCbzcKySm/AME3Tubyn/8zVs9/j0dFRZDIZtLe3I51OO1+PRos3lGdZFoZhgGEY50Rhj8oHBgYAwEnguVwOsVjMmQ+YfMUgSZKzMclkmqY5P6fSapnBYJBG7h7avUPA9h/HsWmzgO6tInrDHJavakf31trPh4xfMHF1wirJOQCgvyBi3WOSk+B/9X3WyT8zUXU3zpXxMYycLa4JXrns7t1h7+9TsHxVu7P5bj7hB9G/x507YZet4cqO1o+/LqO1YLmF1pX5N/3j/TNfynYqPM9XXDfdXuOczI29VZ+9FyvLssjlcshkMggGg04Jx+7YKdx2UJZldHZ2IhQKQdM0Z1erTCYDVVWnXFZYEAQYhoHe3t6i5+0TuyAISKVSFRN94QBAkiSEQqGKH7NZWpmUd/yIhqGPBouqB5s2C3j7laQr8VpXsmAfKP3/bR5ScemTwaKRPPuAMKucU/XIft2GIJ7fGcGzr2Rw5ICKQAeH9RvdLylMvnxtbmXw2TlvJ6LsS6hCi1sYmIdUrH/M/VIW8Ya9EcjkSVIgXwZSFAWCIEAQhIplFcuyijp2WJYtqv3bJTv7sV0iqsQ+8QD5zUnKXf0VxiLuOHOycsuuGy6dNtCyor3ouaYWBifeSIJ/cmYJv+qR/dMvqsjlcniiO4DjRzVIL7g/imhewuDMSQMTBVcQy+/y/hd6/IJZsojaTC+lyPxl1+/tbfwKR/Llrqammy8xDAPpdLroKq1wo3Ign+wzmYxzdTCTBG1PDI+NjcHn81X8GB4envJkQKbXfKOKcPjAzbmzgIul6kounjZKcs7kAed05tSNs25D/pf97VeS8Pl86H2+8nZptfBgRMTBNxX8z+d3oTsi4sq4hSMHVQT+3Ps3v5xydTYy/9mj6Wg0ilwuh2AwCJ7nne0AK21HyPO801NfjqZp8Pv9U+4wZbdvzpRpms4G5fZcgF1yKneisEtVpDqrOzhs7A7jtT0JtCxpw5VxC2+lZTS3erd6JVA+tyye5fxg1cn+mR/w6H1BweoODqs7OCSf6sG6vwi6Mmlha1nC4LlXNRw5oOLMySw2dgu4ctlyrRunktaVLK5OevMvnjZm/eaT+rEsC7quQ9d1CIIA0zSdrhtVVWEYBiRJwtjYWEk3DnCztXGq0b2d5FVVnVG7ZDmKooBhGOfKwjAMiKLo/GzLshAIBJDJZMBxnNMRNHlOgFTvmZdUHD6g4viRDDbeyDUbPc45qzge5m8Gip771JjdJH1VZRx70sLuvOneKuLBSNST2nnLEgbdW0U8GpVw5KCK5huPvbR0DYdLp4trdtcmrFlfVpH64TjO2bzbMAwkEglEIhG0tbU5d7TarZUMw8A0zaIRul2vL0fTtKIThGEYVXfPmKZZNII3TbPopCGKImKxmDN6ZxgG2WwWPT09VcUj5W3anO/IAYATR3Vs3+nd8uhA+ZxzdcLC0q91zvhnVDWyt2tWE5ctpzOmuZVx6lteOH5EQ/8v43jO47XwAWD9YxL6twdwdcJCUwuDqxMWPh3UZzxRQuqvcKLTNE0MDQ0hGo0ilUqBYRjE43EYhoFYLOaMzO0yiWmaSKfTGBoacn6e3+8ve8eqfQVRrs2yHNM0i8oxqqo6k7eqqhadYERRdK4YdF13Ood8Ph8URUFnZ+esNyknlY2cNbF7RwS9z6dcafWeCvuAgMXNfpiHVKdb51NDw7pZNIRUlexbljDofT6Fl3dL2Ly1B1fGLXx2znTOfG4aOWvifTWNkbND2Pu+6Zxs3HDe0PDxu+kbn+tYuqYTTS0MWleyCP4khQ/2SLhnSw9OvCEj+JNUzXa+0jQNAwMDTqLo7OwsSkx2X7eu62AYhmqyVSjXIWOTJAmapjkjfPv9tUfn8Xgc0Wi0KClLkoSenp6yI+r29vYZrVETDofR1dXlxDMMA36/vyi+nbw1TUM6nUYwGHSes0f84XAY4XAYoihCEATqypmjicsWjhwcwOFf78PTL+5z9V6ii6cNnHgj39Zp/mYAS7/W6eSV78oaPtgjYXFLG4Z/o3p3U1X3VhEbNwsYOmmAvbcTz7xUeqdnrY2cNfHZOROP/LDX1SRvW8Xx2N4/VPZr924RsYrjMX7BxP07+mq6xSHP88hms2W/xrIsent7qSbrIrsEY58QDMOAZVlO0iy3Lk08Hi9b26+kXP1eVVWnVAPk/60LE7Vdv7e/fyaLplGin7sTR7X8fGQkOv2L52jZGg7f+tm+yl97VsWl0wbWfa931jlnTt04LUsYT3rrbSvuZj2/fJqKfTMVWVgmr2RZeENVua9Xo9Jk7eQEP9VxTYcSfW143QAylaYWpuo2b1rPnhBCGgCteknmrf7+fvT399f7MEhl06/GRuYNSvZkPvoCwFsAvL1zhVTj1/U+ADIzlOzJfDWzXkVCyIxQzZ4QQhoAJXtCCGkAlOwJIaQBLELBjPrfv/hfsf+1/+FJYHujk6GTBp7+gffLA5/ar+D8LBcSmovPxy46n992G51jCamD6/Ynv9X/j6d5xzz1T/jiXyfwtuRdzFHznwsfXvch/wZQC9XCNwBg/twdQoj3fg1gc70Pok5eWwRgGADdaueh5uZmLFrkXSPU2NgYAHzuWUBC5qcP0bjJ/sQiAM8CeNnesMErhw8fxrvvvguv4wJAIpGoW9yOjg58+OGHnsa9sWXeR54GJWT+eQHAaQBL630gHjsP4HUA4AHkYrFYzkt9fX25esTN5XJ1jRsMBusSF4C3C3ATQuYVmikkhJAGQMmeEEIaACV7QghpAJTsCSGkAVCyJ4SQBkDJfgGwLKveh0AImedmlewty0IikSja4d4myzICgQB8Ph8ikYizj2YtTBVXVVVwHAefz4dQKFTTxDdV3EI8zzubUXsRVxRFhEIhhEIhdHV1UbInhExrxsnesiwYhoF9+/aVJBdVzW82ns1msW/fPmSzWfT09NTsIA3DQCaTKYmraZpzXKOjo8jlcrPa9LnauIUURYGu6zWLacfNZrNl42qaBpZlEYvFEIvFkEqlaK9RQsi0ZpzsGYYBz/NlR5umaUKSJDAMA0EQEI/HazrS5Xm+7N2uLMtCFMWi46vlKLdSXJthGK6MqnmeB8dxZb8Wj8cRCoWcY6v0OkIIKVSTmr0kSUWPWZaF3+/+jnKTR7SGYdR0ZD8dRVFK/u5uMk0Tuq6D53m0tbUhkUh4FpsQcmtzZYJW0zRPk6CmaQiFQhgbG/Osfh2Pxz09sQD5k1sul0M2m0U4HEY8Hvf0fSaE3Lpqnuwty4KmaZ4nwt7eXoyOjiISibgeS9M0cBwHhmFcj1UOx3FQFAWxWAzJZLIux0AIubXUPNnLsuxM2HrFnktQVRWmada0E6iceDyOtrY26LruTM4ODg7CMAxX45Y7DgCu/30JIbe+mi6qLkkSRFGs24jXruF7ET8WixU9TqVSGBoagizLrseejLpxCCHTmXWyr1QTj8fjEEXR6Q6xLKsuE5jBYND1ZD+508jn80GWZdfXx7ffe/vvp2kaotGoqzEJIQvDrMo4hmFgYGAAw8PDRSULRVGQSCTQ1dUFn88Hn8+Htra2mrUFGoaBdDpdEjcejyMQCCCdTkPX9ZqXkCr9fd1WKa4oiggEAkgmkxgYGIAsy3W5kiCE3HpmNbK3LAupVMr53MZxHDKZTMnrazXSnRzXsiwwDANJkpwY7e3tNU98lmWhr6+vJO5kmUympv3uleKqqupcVbAs6/ncCCHk1jWrZF8pebt9Y0+luPaNVF7HrfZ1tYjr9VaKhJCFgRZCI4SQBkDJnhBCGgAle0IIaQCU7AkhpAFQsieEkAZAyZ4QQhoAJXtCCGkAlOwJIaQBODdV2UsOeOXs2bN1iWurV9zBwUGEQiHP4xJCGpvvxp+120NwdjgAZwFcbJC46wBcqENcAFBufBBCGtD/B7hQSXGT567DAAAAAElFTkSuQmCC"
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 13.8.2 Fast-RCNN\n",
    "\n",
    "**R-CNN的主要性能瓶颈在于，对每个提议区域，卷积神经网络的前向传播是独立的，而没有共享计算。 由于这些区域通常有重叠，独立的特征抽取会导致重复的计算。 Fast R-CNN [Girshick, 2015]对R-CNN的主要改进之一，是仅在整张图象上执行卷积神经网络的前向传播。**\n",
    "\n",
    "![image.png](attachment:734d0527-7cf3-42f7-bf61-0558b0157ea7.png)\n",
    "\n",
    "                                  图13.8.2 Fast-RCNN模型\n",
    "                                  \n",
    "                                  \n",
    " **图13.8.2中描述了Fast R-CNN模型。它的主要计算如下：**\n",
    " \n",
    " \n",
    "**1.与R-CNN相比，Fast R-CNN用来提取特征的卷积神经网络的输入是整个图像，而不是各个提议区域。此外，这个网络通常会参与训练。设输入为一张图像，将卷积神经网络的输出的形状记为1×c×h1×w1。**\n",
    "\n",
    "**2.假设选择性搜索生成了n个提议区域。这些形状各异的提议区域在卷积神经网络的输出上分别标出了形状各异的兴趣区域。然后，这些感兴趣的区域需要进一步抽取出形状相同的特征（比如指定高度h2和宽度w2），以便于连结后输出。为了实现这一目标，Fast R-CNN引入了兴趣区域汇聚层（RoI pooling）：将卷积神经网络的输出和提议区域作为输入，输出连结后的各个提议区域抽取的特征，形状为n×c×h2×w2。**\n",
    "\n",
    "**3.通过全连接层将输出形状变换为n×d，其中超参数d取决于模型设计。**\n",
    "\n",
    "**4.预测n个提议区域中每个区域的类别和边界框。更具体地说，在预测类别和边界框时，将全连接层的输出分别转换为形状为n×q（q是类别的数量）的输出和形状为n×4的输出。其中预测类别时使用softmax回归。**\n",
    "\n",
    "**在Fast R-CNN中提出的兴趣区域汇聚层与 6.5节中介绍的汇聚层有所不同。在汇聚层中，我们通过设置汇聚窗口、填充和步幅的大小来间接控制输出形状。而兴趣区域汇聚层对每个区域的输出形状是可以直接指定的。**\n",
    "\n",
    "**例如，指定每个区域输出的高和宽分别为h2和w2。 对于任何形状为h×w的兴趣区域窗口，该窗口将被划分为h2×w2子窗口网格，其中每个子窗口的大小约为(h/h2)×(w/w2)。 在实践中，任何子窗口的高度和宽度都应向上取整，其中的最大元素作为该子窗口的输出。 因此，兴趣区域汇聚层可从形状各异的兴趣区域中均抽取出形状相同的特征。**\n",
    "\n",
    "**作为说明性示例， 图13.8.3中提到，在4×4的输入中，我们选取了左上角3×3的兴趣区域。 对于该兴趣区域，我们通过2×2的兴趣区域汇聚层得到一个2×2的输出。 请注意，四个划分后的子窗口中分别含有元素0、1、4、5（5最大）；2、6（6最大）；8、9（9最大）；以及10。**\n",
    "\n",
    "![image.png](attachment:3d4355e3-b9ea-4e22-924f-8ccf87322109.png)\n",
    "\n",
    "\n",
    "                 图13.8.3 一个  2×2  的兴趣区域汇聚层\n",
    "                 \n",
    " **下面，我们演示了兴趣区域汇聚层的计算方法。 假设卷积神经网络抽取的特征X的高度和宽度都是4，且只有单通道**\n",
    " \n",
    "                 \n",
    "      \n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-01T09:33:31.383402Z",
     "iopub.status.busy": "2022-03-01T09:33:31.382224Z",
     "iopub.status.idle": "2022-03-01T09:33:31.390726Z",
     "shell.execute_reply": "2022-03-01T09:33:31.390077Z",
     "shell.execute_reply.started": "2022-03-01T09:33:31.383356Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Tensor(shape=[1, 1, 4, 4], dtype=float32, place=CUDAPlace(0), stop_gradient=True,\n",
       "       [[[[0. , 1. , 2. , 3. ],\n",
       "          [4. , 5. , 6. , 7. ],\n",
       "          [8. , 9. , 10., 11.],\n",
       "          [12., 13., 14., 15.]]]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import paddle\n",
    "import paddle.vision as paddlevision\n",
    "\n",
    "X = paddle.reshape(paddle.arange(16, dtype='float32'), (1,1,4,4))\n",
    "X"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**让我们进一步假设输入图像的高度和宽度都是40像素，且选择性搜索在此图像上生成了两个提议区域。 每个区域由4个元素表示：左上角和右下角的 (x,y) 坐标。**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-01T09:33:37.390832Z",
     "iopub.status.busy": "2022-03-01T09:33:37.389598Z",
     "iopub.status.idle": "2022-03-01T09:33:37.396347Z",
     "shell.execute_reply": "2022-03-01T09:33:37.395631Z",
     "shell.execute_reply.started": "2022-03-01T09:33:37.390782Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "rois = paddle.to_tensor([[0, 0, 20, 20], [0, 10, 30, 30]]).astype('float32')\n",
    "boxes_num = paddle.to_tensor([len(rois)]).astype('int32')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**由于X的高和宽是输入图像高和宽的 1/10 ，因此，两个提议区域的坐标先按spatial_scale乘以0.1。 然后，在X上分别标出这两个兴趣区域X[:, :, 1:4, 0:4]和X[:, :, 1:4, 0:4]。 最后，在 2×2 的兴趣区域汇聚层中，每个兴趣区域被划分为子窗口网格，并进一步抽取相同形状 2×2 的特征**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-03-01T09:33:40.287188Z",
     "iopub.status.busy": "2022-03-01T09:33:40.286014Z",
     "iopub.status.idle": "2022-03-01T09:33:40.293851Z",
     "shell.execute_reply": "2022-03-01T09:33:40.293092Z",
     "shell.execute_reply.started": "2022-03-01T09:33:40.287145Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Tensor(shape=[2, 1, 2, 2], dtype=float32, place=CUDAPlace(0), stop_gradient=True,\n",
       "       [[[[5. , 6. ],\n",
       "          [9. , 10.]]],\n",
       "\n",
       "\n",
       "        [[[9. , 11.],\n",
       "          [13., 15.]]]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pool_out = paddlevision.ops.roi_pool(X, rois, boxes_num, output_size=(2,2), spatial_scale=0.1)\n",
    "pool_out"
   ]
  },
  {
   "attachments": {
    "74942234-0518-4fb6-81a2-cf2b00b1d5e3.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 13.8.3. Faster R-CNN\n",
    "**为了较精确地检测目标结果，Fast R-CNN模型通常需要在选择性搜索中生成大量的提议区域。 Faster R-CNN [Ren et al., 2015]提出将选择性搜索替换为区域提议网络（region proposal network），从而减少提议区域的生成数量，并保证目标检测的精度。**\n",
    "\n",
    "\n",
    "![image.png](attachment:74942234-0518-4fb6-81a2-cf2b00b1d5e3.png)\n",
    "\n",
    "                         图13.8.4 Faster R-CNN 模型\n",
    "**1.使用填充为1的 3×3 的卷积层变换卷积神经网络的输出，并将输出通道数记为 c 。这样，卷积神经网络为图像抽取的特征图中的每个单元均得到一个长度为 c 的新特征。**\n",
    "\n",
    "**2.以特征图的每个像素为中心，生成多个不同大小和宽高比的锚框并标注它们。**\n",
    "\n",
    "**3.使用锚框中心单元长度为 c 的特征，分别预测该锚框的二元类别（含目标还是背景）和边界框。**\n",
    "\n",
    "**4.使用非极大值抑制，从预测类别为目标的预测边界框中移除相似的结果。最终输出的预测边界框即是兴趣区域汇聚层所需的提议区域。**\n",
    "\n",
    "**值得一提的是，区域提议网络作为Faster R-CNN模型的一部分，是和整个模型一起训练得到的。 换句话说，Faster R-CNN的目标函数不仅包括目标检测中的类别和边界框预测，还包括区域提议网络中锚框的二元类别和边界框预测。 作为端到端训练的结果，区域提议网络能够学习到如何生成高质量的提议区域，从而在减少了从数据中学习的提议区域的数量的情况下，仍保持目标检测的精度。**"
   ]
  },
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 13.8.4. Mask R-CNN¶\n",
    "\n",
    "**如果在训练集中还标注了每个目标在图像上的像素级位置，那么Mask R-CNN [He et al., 2017]能够有效地利用这些详尽的标注信息进一步提升目标检测的精度。**\n",
    "\n",
    "![image.png](attachment:b37d0686-687f-4db4-916b-4fd64a070be9.png)\n",
    "\n",
    "\n",
    "             图13.8.5 Mask R-CNN 模型¶\n",
    "             \n",
    "             \n",
    "**如 图13.8.5所示，Mask R-CNN是基于Faster R-CNN修改而来的。 具体来说，Mask R-CNN将兴趣区域汇聚层替换为了 兴趣区域对齐层，使用双线性插值（bilinear interpolation）来保留特征图上的空间信息，从而更适于像素级预测。 兴趣区域对齐层的输出包含了所有与兴趣区域的形状相同的特征图。 它们不仅被用于预测每个兴趣区域的类别和边界框，还通过额外的全卷积网络预测目标的像素级位置。 本章的后续章节将更详细地介绍如何使用全卷积网络预测图像中像素级的语义。**   \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 13.8.5. 小结\n",
    "**R-CNN对图像选取若干提议区域，使用卷积神经网络对每个提议区域执行前向传播以抽取其特征，然后再用这些特征来预测提议区域的类别和边界框。**\n",
    "\n",
    "**Fast R-CNN对R-CNN的一个主要改进：只对整个图像做卷积神经网络的前向传播。它还引入了兴趣区域汇聚层，从而为具有不同形状的兴趣区域抽取相同形状的特征。**\n",
    "\n",
    "**Faster R-CNN将Fast R-CNN中使用的选择性搜索替换为参与训练的区域提议网络，这样后者可以在减少提议区域数量的情况下仍保证目标检测的精度。**\n",
    "\n",
    "**Mask R-CNN在Faster R-CNN的基础上引入了一个全卷积网络，从而借助目标的像素级位置进一步提升目标检测的精度。**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 13.8.6. 练习\n",
    "**我们能否将目标检测视为回归问题（例如预测边界框和类别的概率）？你可以参考YOLO模型 [Redmon et al., 2016]的设计。**\n",
    "\n",
    "**将单发多框检测与本节介绍的方法进行比较。他们的主要区别是什么？你可以参考 [Zhao et al., 2019]中的图2。**"
   ]
  }
 ],
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